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34120840 = 2351365617
BaseRepresentation
bin1000001000101…
…0010010001000
32101012111222211
42002022102020
532213331330
63215154504
7563010445
oct202122210
971174884
1034120840
1118295546
12b515a34
1370b8860
1447629cc
152eded2a
hex208a488

34120840 has 32 divisors (see below), whose sum is σ = 82678680. Its totient is φ = 12598272.

The previous prime is 34120829. The next prime is 34120847. The reversal of 34120840 is 4802143.

It can be written as a sum of positive squares in 4 ways, for example, as 31114084 + 3006756 = 5578^2 + 1734^2 .

It is not an unprimeable number, because it can be changed into a prime (34120847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32289 + ... + 33328.

Almost surely, 234120840 is an apocalyptic number.

It is an amenable number.

34120840 is an abundant number, since it is smaller than the sum of its proper divisors (48557840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34120840 is a wasteful number, since it uses less digits than its factorization.

34120840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65641 (or 65637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 34120840 is about 5841.3046487921. The cubic root of 34120840 is about 324.3445250506.

Adding to 34120840 its reverse (4802143), we get a palindrome (38922983).

The spelling of 34120840 in words is "thirty-four million, one hundred twenty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 65617 131234 262468 328085 524936 656170 853021 1312340 1706042 2624680 3412084 4265105 6824168 8530210 17060420 34120840